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Finding the Fourth Proportional to 3,185.84, 4,797.42 and 2,779.80

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Solution

The fourth proportional to 3,185.84, 4,797.42 and 2,779.80 is: 4,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.84 : 4,797.42 = 2,779.80 : x
  2. Step 2: Convert to fraction form
    3,185.84/4,797.42 = 2,779.80/x
  3. Step 3: Cross multiply
    3,185.84x = 4,797.42 × 2,779.80
  4. Step 4: Simplify right side
    3,185.84x = 13,335,868.12
  5. Step 5: Solve for x
    x = 13,335,868.12/3,185.84
  6. Step 6: Final answer
    x = 4,185.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.